Definition
Bayesian analysis of electrophysiological data refers to the statistical processing of data obtained in electrophysiological experiments (i.e., recordings of action potentials or voltage measurements with electrodes or imaging devices) which utilizes methods from Bayesian statistics. Bayesian statistics is a framework for describing and modeling empirical data using the mathematical language of probability to model uncertainty. Bayesian statistics provides a principled and exible framework for combining empirical observations with prior knowledge and for quantifying uncertainty. These features are especially useful for analysis questions in which the dataset sizes are small in comparison to the complexity of the model, which is often the case in neurophysiological data analysis.
Detailed Description
Overview
The Bayesian approach to statistics has become an established framework for analysis of...
References
Archer E, Park IM, Pillow JW (2012) Bayesian estimation of discrete entropy with mixtures of stick-breaking priors. Adv Neural Inf Proces Syst 25:2024–2032
Barber D (2012) Bayesian reasoning and machine learning. Cambridge University Press, Cambridge
Bishop CM (2006) Pattern recognition and machine learning. Springer, New York
Blei DM, Kucukelbir A, McAuliffe JD (2017) Variational inference: a review for statisticians. J Am Stat Assoc 112(518):859
Brown EN, Kass RE, Mitra PP (2004) Multiple neural spike train data analysis: state-of-the-art and future challenges. Nat Neurosci 7(5):456
Chen Z (2013) An overview of bayesian methods for neural spike train analysis. Comput Intell Neurosci 2013:1
Cronin B, Stevenson IH, Sur M, Körding KP (2010) Hierarchical bayesian modeling and markov chain Monte Carlo sampling for tuning-curve analysis. J Neurophysiol 103(1):591
Gelman A, Carlin JB, Stern HS, Rubin DB (2003) Bayesian data analysis. CRC Press, London
Gerwinn S, Macke JH, Bethge M (2009) Bayesian population decoding of spiking neurons. Front Comput Neurosci 3:21
Gerwinn S, Macke JH, Bethge M (2010) Bayesian inference for generalized linear models for spiking neurons. Front Comput Neurosci 4:12
Hoffman MD, Blei DM, Wang C, Paisley J (2013) Stochastic variational inference. J Mach Learn Res 14:1303–1347
Kass RE, Carlin BP, Gelman A, Neal RM (1998) Markov chain Monte Carlo in practice: a roundtable discussion. Am Stat 52(2):93–100
Kass RE, Ventura V, Brown EN (2005) Statistical issues in the analysis of neuronal data. J Neurophysiol 94(1):8
Linderman SW, Gershman SJ (2017) Using computational theory to constrain statistical models of neural data. Curr Opin Neurobiol 46:14
Marreiros AC, Stephan KE, Friston KJ (2010) Dynamic causal modeling. Scholarpedia 5(7):9568
Nemenman I, Bialek W, de Ruyter van Steveninck R (2004) Entropy and information in neural spike trains: progress on the sampling problem. Phys Rev E Stat Nonlin Soft Matter Phys 69(5 Pt 2):056111
Paninski L, Pillow JW, Lewi J (2007) Statistical models for neural encoding, decoding, and optimal stimulus design. Progr Brain Res 165:493–507
Park M, Pillow JW (2011) Receptive field inference with localized priors. PLoS Comput Biol 7(10):e1002219
Sahani M, Linden JF (2003) Evidence optimization techniques for estimating stimulus-response functions. In: Advances in neural information processing systems: proceedings from the 2002 conference, vol 15. The MIT Press, Cambridge
Speiser A, Yan J, Archer EW, Buesing L, Turaga SC, Macke JH (2017) Fast amortized inference of neural activity from calcium imaging data with variational autoencoders. In: Advances in neural information processing systems, vol 30. Curran Associates, Red Hook
Spiegelhalter D, Rice K (2009) Bayesian statistics. Scholarpedia 4(8):5230
Vogelstein JT, Watson BO, Packer AM, Yuste R, Jedynak B, Paninski L (2009) Spike inference from calcium imaging using sequential Monte Carlo methods. Biophys J 97(2):636–655
Wood F, Goldwater S, Black MJ (2006) A non-parametric Bayesian approach to spike sorting. In: Engineering in medicine and biology society, 2006. EMBS’06. 28th annual international conference of the IEEE. IEEE
Wu W, Gao Y, Bienenstock E, Donoghue JP, Black MJ (2006) Bayesian population decoding of motor cortical activity using a Kalman filter. Neural Comput 18(1):80
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Section Editor information
Rights and permissions
Copyright information
© 2020 Springer Science+Business Media, LLC, part of Springer Nature
About this entry
Cite this entry
Bassetto, G., Macke, J.H. (2020). Electrophysiology Analysis, Bayesian. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7320-6_448-2
Download citation
DOI: https://doi.org/10.1007/978-1-4614-7320-6_448-2
Received:
Accepted:
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-7320-6
Online ISBN: 978-1-4614-7320-6
eBook Packages: Springer Reference Biomedicine and Life SciencesReference Module Biomedical and Life Sciences
Publish with us
Chapter history
-
Latest
Electrophysiology Analysis, Bayesian- Published:
- 18 April 2020
DOI: https://doi.org/10.1007/978-1-4614-7320-6_448-2
-
Original
Electrophysiology Analysis, Bayesian- Published:
- 21 March 2014
DOI: https://doi.org/10.1007/978-1-4614-7320-6_448-1